Cuntz-Krieger algebras and wavelets on fractals

Details Cuntz-Krieger algebras and wavelets on fractals Cuntz-Krieger algebras and wavelets on fractals

2009-08-05

arxiv.org/abs/0908.0596v1

Mathematics

Functional Analysis

37 pages, LaTeX

Scientific paper

We consider representations of Cuntz--Krieger algebras on the Hilbert space
of square integrable functions on the limit set, identified with a Cantor set
in the unit interval. We use these representations and the associated
Perron-Frobenius and Ruelle operators to construct families of wavelets on
these Cantor sets.

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